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|
BEGIN NEW DATA CASE
C BENCHMARK DC-9
C A collection of 28 simple cases for testing CASCADE LINE as described
C in the April, 1998, newsletter. 26th is original DC-9 prior to April, 98.
C 1st of 28 subcases is single-phase and constant parameter distributed.
C It cascades two 100-mile sections of line, with ZnO only at the end.
C Series resistance is at the mid-point, within CASCADE LINE.
PRINTED NUMBER WIDTH, 13, 2, { Request maximum precision (for 8 output columns)
.000050 .020
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .306 5.82 .012 100. { Half the length of original
1 1 1.E-3 { Small resistor precedes line section
REPETITION 1 { Connect another 1 section of preceding 100 miles
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA { Type 92 is for v-i curve } 5555. { 5555 flag is for exponentials } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 2.0
C COEF EXPON VMIN
1250. 26. 0.5
9999. { Bound on exponential segments (only one precedes)
BLANK card terminating branch data
BLANK card terminating all (in this case, nonexistent) switches
14SENDA 408000. 60.
BLANK card ending source data
1
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 2nd of 28 subcases is single-phase and constant-parameter distributed.
C It cascades two 100-mile sections of line with ZnO at receiving end and
C also at the mid-point (it is within CASCADE LINE as a shunt element).
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
33 1 40 10 100 50
92RECA { Type 92 is for v-i curve } 5555. { 5555 flag is for exponentials }
C VREF VFLASH VZERO COL
778000. -1.0 0.0 2.0
C COEF EXPON VMIN
1250. 26. 0.5
9999. { Bound on exponential segments (only one precedes)
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .306 5.82 .012 100. { 1/4 the length of original
92 1 0RECA { Copy Type-92 ZnO at the receiving end
REPETITION 1 { Connect another 1 section of preceding 100 miles
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
BLANK card terminating branch data
BLANK card terminating all (in this case, nonexistent) switches
14SENDA 408000. 60.
BLANK card ending source data
1
144 2. 0.0 20. RECA RECA01
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 3rd of 28 subcases is the 1st, except that 4 sections of 50
C miles are used rather than 2 sections of 100 miles. Also, series
C resistance has been made sizable (10 ohms rather than .001 ohms).
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .306 5.82 .012 50. { 1/4 the length of original
1 1 1.E+1 { Small resistor precedes line section
REPETITION 3 { Connect another 3 sections of preceding 50 miles
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA { Type 92 is for v-i curve } 5555. { 5555 flag is for exponentials } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 2.0
C COEF EXPON VMIN
1250. 26. 0.5
9999. { Bound on exponential segments (only one precedes)
BLANK card terminating branch data
BLANK card terminating all (in this case, nonexistent) switches
14SENDA 408000. 60.
BLANK card ending source data
1
194 2. 0.0 20. RECA
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 4th of 28 subcases is like 1st, except that the line is 3-phase rather
C than single phase. Still constant-parameter distributed, each phase
C has a very small resistor in series at the mid-point. The receiving
C end has 3 compensation-based surge arresters as in DC-38.
PRINTED NUMBER WIDTH, 10, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
30 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .305515.8187.01210 100. 0 { 200-mile, constant-
-2SENDB RECB .031991.5559.01937 100. 0 { parameter, 3-phase
-3SENDC RECC { transmission line.
1 1 1.E-3 { Small resistor precedes line section
2 2 1.E-3 { Small resistor precedes line section
3 3 1.E-3 { Small resistor precedes line section
REPETITION 1 { Connect another 1 sections of preceding 100 miles
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92RECB RECA 5555. { Phase "b" ZnO is copy of "a"
92RECC 4444. { Phase "c" ZnO is piecewise-linear
C VREF VFLASH VZERO
0.0 -1.0 0.0
1.0 582400. { First point of i-v curve.
2.0 590800. { Data is copied from DC-39
5.0 599200. { which was used to create
10. 604800. { the ZnO branch cards that
20. 616000. { are used in phases "a" &
50. 630000. { "b". But there is some
100. 644000. { distortion due to the use
200. 661920. { of linear rather than the
500. 694400. { more accurate exponential
1000. 721280. { modeling, of course.
2000. 756000.
3000. 778400. { Last point of i-v curve.
9999. { Terminator for piecewise-linear characteristic
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14SENDA 408000. 60. 0.0 { 1st of 3 sources. Note balanced,
14SENDB 408000. 60. -120. { three-phase, sinusoidal excitation
14SENDC 408000. 60. 120. { with no phasor solution.
BLANK card ending source data
C Exclamation point holds lower case of following, note:
RECA01RECa01RECA RECB01RECb01RECB RECC01RECc01RECC SENDA !
BLANK card terminating names of node voltage outputs
194 2. 0.0 20. RECA
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 5th of 28 subcases is like preceding except that lumped elements are
C shunt-connected rather than series, from conductors to ground.
PRINTED NUMBER WIDTH, 10, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
30 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .305515.8187.01210 100. 0 { 200-mile, constant-
-2SENDB RECB .031991.5559.01937 100. 0 { parameter, 3-phase
-3SENDC RECC { transmission line.
1 0 1.E-3 { Capacitance to neutral
2 0 1.E-3
3 0 1.E-3
REPETITION 1 { Connect another 1 sections of preceding 100 miles
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92RECB RECA 5555. { Phase "b" ZnO is copy of "a"
92RECC 4444. { Phase "c" ZnO is piecewise-linear
C VREF VFLASH VZERO
0.0 -1.0 0.0
1.0 582400. { First point of i-v curve.
2.0 590800. { Data is copied from DC-39
5.0 599200. { which was used to create
10. 604800. { the ZnO branch cards that
20. 616000. { are used in phases "a" &
50. 630000. { "b". But there is some
100. 644000. { distortion due to the use
200. 661920. { of linear rather than the
500. 694400. { more accurate exponential
1000. 721280. { modeling, of course.
2000. 756000.
3000. 778400. { Last point of i-v curve.
9999. { Terminator for piecewise-linear characteristic
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14SENDA 408000. 60. 0.0 { 1st of 3 sources. Note balanced,
14SENDB 408000. 60. -120. { three-phase, sinusoidal excitation
14SENDC 408000. 60. 120. { with no phasor solution.
BLANK card ending source data
1
194 2. 0.0 20. RECA
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 6th of 28 subcases is like preceding except that shunt-connected lumped
C elements are more involved. One dummy node (value -1) is used
C as well as ground (value 0) and the conductors (values 1, 2, 3).
PRINTED NUMBER WIDTH, 10, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
30 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .305515.8187.01210 100. 0 { 200-mile, constant-
-2SENDB RECB .031991.5559.01937 100. 0 { parameter, 3-phase
-3SENDC RECC { transmission line.
1 -1 1.E-3 { Capacitance to neutral
2 -1 1.E-3
3 -1 1.E-3
-1 0 1.E-3 { Resistance from neutral to earth
REPETITION 1 { Connect another 1 sections of preceding 100 miles
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92RECB RECA 5555. { Phase "b" ZnO is copy of "a"
92RECC 4444. { Phase "c" ZnO is piecewise-linear
C VREF VFLASH VZERO
0.0 -1.0 0.0
1.0 582400. { First point of i-v curve.
2.0 590800. { Data is copied from DC-39
5.0 599200. { which was used to create
10. 604800. { the ZnO branch cards that
20. 616000. { are used in phases "a" &
50. 630000. { "b". But there is some
100. 644000. { distortion due to the use
200. 661920. { of linear rather than the
500. 694400. { more accurate exponential
1000. 721280. { modeling, of course.
2000. 756000.
3000. 778400. { Last point of i-v curve.
9999. { Terminator for piecewise-linear characteristic
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14SENDA 408000. 60. 0.0 { 1st of 3 sources. Note balanced,
14SENDB 408000. 60. -120. { three-phase, sinusoidal excitation
14SENDC 408000. 60. 120. { with no phasor solution.
BLANK card ending source data
1
194 2. 0.0 20. RECA
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 7th of 28 subcases merely modularizes the data for a 2-phase line that
C will be used next. It is a modification of 500-kV geometry of DC-59.
C Preceding line sections were continously transposed. The next will be
C highly unbalanced due to vertical configuration, note. Phase 1 has a
C real 3-conductor bundle whereas phase 2 consists of just one conductor
C twice the height, immediately above the 1st phase.
LINE CONSTANTS
$ERASE { Flush the punched card buffer (in case 2nd or later subcase of usage)
ENGLISH { Redundant request is unnecessary: English units are default choice
BRANCH JDA LMA JDB LMB
1 .375 .0776 4 .0 1.302 .17 51.04 { Modification of DC-59a
1 .375 .0776 4 .0 1.302 1.00 50.00
1 .375 .0776 4 .0 1.302 1.83 51.04
2 .375 .0776 4 .0 1.302 1.83 101.40 { 2nd phase is twice as high
BLANK card concludes conductor cards
C Following is old format with "1" in column 28. Newer blank is equivalent:
100.0 5000.0 1 1 70. 1
BLANK card ends the one and only frequency card
$PUNCH
BLANK card ends "LINE CONSTANTS" data subcase
BEGIN NEW DATA CASE
C 8th of 28 subcases is like 1st except that a 2-phase, untransposed
C line is involved. This involves 1st use of transformation matrix,
C note. Preceding line sections all were transposed. This one comes
C from cards punched by 7th data subcase. Use of comments cards within
C CASCADE LINE also are illustrated (note those series elements are not
C actually being used; they are comment cards only). Only one phase is
C excited, for more imbalance. There is no phasor solution, either.
PRINTED NUMBER WIDTH, 10, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
30 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
$VINTAGE, 1
-1JDA LMA 9.92820E+00 4.56745E+02 1.62458E+05-1.00000E+02 1 2
-2JDB LMB 3.89217E-01 3.61489E+02 1.85363E+05-1.00000E+02 1 2
$VINTAGE, 0
0.91340878 -0.63245328
0.00000000 0.00000000
0.40704349 0.77459851
0.00000000 0.00000000
REPETITION 1 { Connect another 1 section of preceding 100 miles
C 1 1 1.E+1 { Small resistor precedes line section
C 2 2 1.E+1 { Small resistor precedes line section
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92LMA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92LMB LMA 5555. 1
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14JDA 800000. 60. 0.
BLANK card ending source data
1
194 2. 0.0 20. LMA LMB
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 9th of 28 subcases illustrates transposition without CASCADE LINE.
C This establishes the answer for the following case. Note the first
C section ends with (LMA001, LMB001) whereas the 2nd begins with
C (LMB001, LMA001), which shows 1 --> 2 and 2 --> 1 (swap).
PRINTED NUMBER WIDTH, 10, 2, { Reduced precision
.000050 .006
1 1 1 0 1 -1
33 1 40 10 100 50
$VINTAGE, 1
-1JDA LMA001 9.92820E+00 4.56745E+02 1.62458E+05-1.00000E+02 1 2
-2JDB LMB001 3.89217E-01 3.61489E+02 1.85363E+05-1.00000E+02 1 2
$VINTAGE, 0
0.91340878 -0.63245328
0.00000000 0.00000000
0.40704349 0.77459851
0.00000000 0.00000000
-1LMB001LMA JDA LMA001
-2LMA001LMB
92LMA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92LMB LMA 5555. 1
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14JDA 800000. 60. 0. { 1st of 3 sources. Note balanced,
14JDB 800000. 60. -120. { three-phase, sinusoidal excitation
BLANK card ending source data
LMB001LMA001LMB LMA JDA JDB
BLANK card terminating names of node voltage outputs
194 .5 0.5 5.5 LMA LMB
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 10th of 28 subcases repeats the preceding. But here CASCADE LINE is
C used to perform the transposition and connect the following (second)
C line section. Answers should be identical to preceding case.
PRINTED NUMBER WIDTH, 10, 2, { Reduced precision
.000050 .006
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
$VINTAGE, 1
-1JDA LMA 9.92820E+00 4.56745E+02 1.62458E+05-1.00000E+02 1 2
-2JDB LMB 3.89217E-01 3.61489E+02 1.85363E+05-1.00000E+02 1 2
$VINTAGE, 0
0.91340878 -0.63245328
0.00000000 0.00000000
0.40704349 0.77459851
0.00000000 0.00000000
TRANSPOSITION 2 1 { Transpose 2 phases A --> B, B --> A
C 1 1 1.E+1 { Small resistor precedes line section
C 2 2 1.E+1 { Small resistor precedes line section
REPETITION 1 { Connect another 1 section of preceding 100 miles
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92LMA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92LMB LMA 5555. 1
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14JDA 800000. 60. 0. { 1st of 3 sources. Note balanced,
14JDB 800000. 60. -120. { three-phase, sinusoidal excitation
BLANK card ending source data
1
194 .5 0.5 5.5 LMA LMB
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 11th of 28 subcases illustrates transposition within CASCADE LINE use
C 50-mile, 2-phase line section is unbalanced. After the 1st of these, we
C transpose and connect another. This is done 3 times (4 * 50 = 200 miles).
C diagnostic 9
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
$VINTAGE, 1
-1JDA LMA 9.92820E+00 4.56745E+02 1.62458E+05 -50. 1 2
-2JDB LMB 3.89217E-01 3.61489E+02 1.85363E+05 -50. 1 2
$VINTAGE, 0
0.91340878 -0.63245328
0.00000000 0.00000000
0.40704349 0.77459851
0.00000000 0.00000000
TRANSPOSITION 2 1 { Transpose 2 phases A --> B, B --> A
REPETITION 1 { Connect another 1 section of 50 miles
TRANSPOSITION 2 1 { Transpose 2 phases A --> B, B --> A
REPETITION 1 { Connect another 1 section of 50 miles
TRANSPOSITION 2 1 { Transpose 2 phases A --> B, B --> A
REPETITION 1 { Connect another 1 section of 50 miles
C 1 1 1.E+1 { Small resistor precedes line section
C 2 2 1.E+1 { Small resistor precedes line section
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92LMA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92LMB LMA 5555. 1
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14JDA 408000. 60. 0. { 1st of 3 sources. Note balanced,
C 14JDB 408000. 60. 0. { three-phase, sinusoidal excitation
BLANK card ending source data
1
194 2. 0.0 20. LMA { LMB
C 144 2. 0.0 20. JDA LMA LMA001
C 144 2. 0.0 20. JDB LMB LMB001
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 12th of 28 subcases illustrates transposition within CASCADE LINE.
C Preceding data case consisted of manual connection of 3 transpositions and
C line sections following the original line section. That was manual. Here
C the multiplicity is automated by INCLUDE TRANSPOSITION IN LOOP anywhere
C on the REPETITION card. This is new and better as of April 24, 1998.
C diagnostic 9
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
$VINTAGE, 1
-1JDA LMA 9.92820E+00 4.56745E+02 1.62458E+05 -50. 1 2
-2JDB LMB 3.89217E-01 3.61489E+02 1.85363E+05 -50. 1 2
$VINTAGE, 0
0.91340878 -0.63245328
0.00000000 0.00000000
0.40704349 0.77459851
0.00000000 0.00000000
TRANSPOSITION 2 1 { Transpose 2 phases A --> B, B --> A
REPETITION 3 INCLUDE TRANSPOSITION IN LOOP { Connect another 3 sections of 50 miles
C 1 1 1.E+1 { Small resistor precedes line section
C 2 2 1.E+1 { Small resistor precedes line section
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92LMA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92LMB LMA 5555. 1
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14JDA 408000. 60. 0. { 1st of 3 sources. Note balanced,
C 14JDB 408000. 60. 0. { three-phase, sinusoidal excitation
BLANK card ending source data
1
194 2. 0.0 20. LMA { LMB
C 144 2. 0.0 20. JDA LMA LMA001
C 144 2. 0.0 20. JDB LMB LMB001
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 13th of 28 subcases illustrates transposition within CASCADE LINE.
C Preceding created 200 miles of line using 4 sections of length 50 miles.
C The only change here is 20 sections of 10 miles each. Each line section
C is preceded by transposition, so this is close to continuous. The plot
C here is smoother than preceding, but not greatly different.
C diagnostic 9
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
$VINTAGE, 1
-1JDA LMA 9.92820E+00 4.56745E+02 1.62458E+05 -10. 1 2
-2JDB LMB 3.89217E-01 3.61489E+02 1.85363E+05 -10. 1 2
$VINTAGE, 0
0.91340878 -0.63245328
0.00000000 0.00000000
0.40704349 0.77459851
0.00000000 0.00000000
TRANSPOSITION 2 1 { Transpose 2 phases A --> B, B --> A
REPETITION 19 INCLUDE TRANSPOSITION IN LOOP { Connect another 3 sections of 50 miles
C 1 1 1.E+1 { Small resistor precedes line section
C 2 2 1.E+1 { Small resistor precedes line section
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92LMA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92LMB LMA 5555. 1
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14JDA 408000. 60. 0. { 1st of 3 sources. Note balanced,
C 14JDB 408000. 60. 0. { three-phase, sinusoidal excitation
BLANK card ending source data
LMA001LMB001LMA006LMB006LMA011LMB011LMA016LMB016LMA LMB
BLANK card ending node voltage outputs
194 2. 0.0 20. LMA { LMB
C 144 2. 0.0 20. JDA LMA LMA001
C 144 2. 0.0 20. JDB LMB LMB001
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 14th of 28 subcases illustrates transposition without CASCADE LINE.
C The preceding pair of cases was for 2 phases; the pair now beginning
C is for 3 phases. This 1st of the pair establishes the answer for the
C following case. Note the first section ends with (RECA01, RECB01, &
C RECC01) whereas the 2nd begins with (RECC01, RECA01, & RECB01),
C which shows 1 --> 2, 2 --> 3, and 3 --> 1 (a normal roll).
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .010
1 1 1 0 1 -1
33 1 40 10 100 50
-1SENDA RECA01 .305515.8187.01210 100. 0 { 200-mile, constant-
-2SENDB RECB01 .031991.5559.01937 100. 0 { parameter, 3-phase
-3SENDC RECC01 { transmission line.
-1RECC01RECA SENDA RECA01
-2RECA01RECB
-3RECB01RECC
RECB01 1.E-3 { Capacitance to neutral
RECC01 1.E-3
RECA01 1.E-3
92RECA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92RECB RECA 5555. 1
92RECC 4444. 1
C VREF VFLASH VZERO
0.0 -1.0 0.0
1.0 582400. { First point of i-v curve.
2.0 590800. { Data is copied from DC-39
5.0 599200. { which was used to create
10. 604800. { the ZnO branch cards that
20. 616000. { are used in phases "a" &
50. 630000. { "b". But there is some
100. 644000. { distortion due to the use
200. 661920. { of linear rather than the
500. 694400. { more accurate exponential
1000. 721280. { modeling, of course.
2000. 756000.
3000. 778400. { Last point of i-v curve.
9999. { Terminator for piecewise-linear characteristic
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14SENDA 408000. 60. 0.0 { 1st of 3 sources. Note balanced,
14SENDB 408000. 60. -120. { three-phase, sinusoidal excitation
14SENDC 408000. 60. 120. { with no phasor solution.
BLANK card ending source data
RECC01RECB01RECA01RECC RECB RECA SENDA SENDB SENDC
BLANK card terminating names of node voltage outputs
194 1. 0.0 10. BRANCH
RECA RECB RECC
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 15th of 28 subcases repeats the preceding. But here CASCADE LINE is
C used to perform the transposition in the middle, and connect line
C sections. Note the plural: rather than just 2 sections of 100 miles
C each, here we have 4 sections of 50 miles each. Except for error of
C discretization and interpolation of the line history, answers should
C be the same as for the preceding subcase, however.
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .010
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .305515.8187.01210 50. 0 { 200-mile, constant-
-2SENDB RECB .031991.5559.01937 50. 0 { parameter, 3-phase
-3SENDC RECC { transmission line.
REPETITION 1 { Connect another 1 sections of preceding 50 miles, making 50
TRANSPOSITION 2 3 1 { Transpose 3 phases A --> B, B --> C, C --> A
1 0 1.E-3 { Capacitance to neutral
2 0 1.E-3
3 0 1.E-3
REPETITION 1 { Connect another 1 section of preceding 50 miles after R-L-C
REPETITION 1 { Connect another 1 section of preceding 50 miles, making 50
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92RECB RECA 5555. 1
92RECC 4444. 1
C VREF VFLASH VZERO
0.0 -1.0 0.0
1.0 582400. { First point of i-v curve.
2.0 590800. { Data is copied from DC-39
5.0 599200. { which was used to create
10. 604800. { the ZnO branch cards that
20. 616000. { are used in phases "a" &
50. 630000. { "b". But there is some
100. 644000. { distortion due to the use
200. 661920. { of linear rather than the
500. 694400. { more accurate exponential
1000. 721280. { modeling, of course.
2000. 756000.
3000. 778400. { Last point of i-v curve.
9999. { Terminator for piecewise-linear characteristic
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14SENDA 408000. 60. 0.0 { 1st of 3 sources. Note balanced,
14SENDB 408000. 60. -120. { three-phase, sinusoidal excitation
14SENDC 408000. 60. 120. { with no phasor solution.
BLANK card ending source data
RECC02RECB02RECA02RECC RECB RECA SENDA SENDB SENDC
BLANK card terminating names of node voltage outputs
194 1. 0.0 10. BRANCH
RECA RECB RECC
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 16th of 28 subcases repeats the preceding, only with 10 line sections
C rather than 4. Total line length remains 200 miles, and transposition
C occurs only in the middle (after 5 sections of 20 miles).
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .010
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .305515.8187.01210 20. 0 { 200-mile, constant-
-2SENDB RECB .031991.5559.01937 20. 0 { parameter, 3-phase
-3SENDC RECC { transmission line.
REPETITION 4 { Connect another 4 sections of preceding 20 miles, making 80
TRANSPOSITION 2 3 1 { Transpose 3 phases A --> B, B --> C, C --> A
1 0 1.E-3 { Capacitance to neutral
2 0 1.E-3
3 0 1.E-3
REPETITION 1 { Connect another 1 section of preceding 20 miles after R-L-C
REPETITION 4 { Connect another 4 sections of preceding 20 miles, making 80
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92RECB RECA 5555. 1
92RECC 4444. 1
C VREF VFLASH VZERO
0.0 -1.0 0.0
1.0 582400. { First point of i-v curve.
2.0 590800. { Data is copied from DC-39
5.0 599200. { which was used to create
10. 604800. { the ZnO branch cards that
20. 616000. { are used in phases "a" &
50. 630000. { "b". But there is some
100. 644000. { distortion due to the use
200. 661920. { of linear rather than the
500. 694400. { more accurate exponential
1000. 721280. { modeling, of course.
2000. 756000.
3000. 778400. { Last point of i-v curve.
9999. { Terminator for piecewise-linear characteristic
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14SENDA 408000. 60. 0.0 { 1st of 3 sources. Note balanced,
14SENDB 408000. 60. -120. { three-phase, sinusoidal excitation
14SENDC 408000. 60. 120. { with no phasor solution.
BLANK card ending source data
RECC05RECB05RECA05RECC RECB RECA SENDA SENDB SENDC
BLANK card terminating names of node voltage outputs
194 1. 0.0 10. BRANCH
RECA RECB RECC
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 17th of 28 subcases repeats the preceding, only with 20 line sections
C rather than 10. Total line length remains 200 miles, and transposition
C occurs only in the middle (after 10 sections of 10 miles).
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .010
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .305515.8187.01210 10. 0 { 200-mile, constant-
-2SENDB RECB .031991.5559.01937 10. 0 { parameter, 3-phase
-3SENDC RECC { transmission line.
REPETITION 9 { 9 more sections all by themselves (no lumped elements)
TRANSPOSITION 2 3 1 { Transpose A, B, C --> B, C, A
1 0 1.E-3 { Capacitance to neutral
2 0 1.E-3
3 0 1.E-3
REPETITION 1 { 1 more section after 3 lumped elements
REPETITION 9 { 9 more sections all by themselves (no lumped elements)
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92RECB RECA 5555. 1
92RECC 4444. 1
C VREF VFLASH VZERO
0.0 -1.0 0.0
1.0 582400. { First point of i-v curve.
2.0 590800. { Data is copied from DC-39
5.0 599200. { which was used to create
10. 604800. { the ZnO branch cards that
20. 616000. { are used in phases "a" &
50. 630000. { "b". But there is some
100. 644000. { distortion due to the use
200. 661920. { of linear rather than the
500. 694400. { more accurate exponential
1000. 721280. { modeling, of course.
2000. 756000.
3000. 778400. { Last point of i-v curve.
9999. { Terminator for piecewise-linear characteristic
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14SENDA 408000. 60. 0.0 { 1st of 3 sources. Note balanced,
14SENDB 408000. 60. -120. { three-phase, sinusoidal excitation
14SENDC 408000. 60. 120. { with no phasor solution.
BLANK card ending source data
RECC10RECB10RECA10RECC RECB RECA SENDA SENDB SENDC
BLANK card terminating names of node voltage outputs
194 1. 0.0 10. BRANCH
RECA RECB RECC
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 18th of 28 subcases repeats the preceding, only with 40 line sections
C rather than 10. Total line length remains 200 miles, and transposition
C occurs only in the middle (after 20 sections of 5 miles). An important
C difference is the series elements. In the preceding case, they were
C used just once. Here, they are repeated 20 times. But since the
C resistance is so small, answer is not changed appreciably. One final
C difference is the addition of 8 dummy branches to force nodes NTOT
C into 3 digits, which changes the interpretation on STOP CASCADE.
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000025 .010
1 1 1 0 1 -1
66 1 80 10 100 100
SENDA DUM1 1.0 { 1st of 8 dummy branches to increase NTOT
SENDA DUM1 1.0 { These branches are disconnected from line
SENDA DUM1 1.0
SENDA DUM1 1.0
SENDA DUM1 1.0
SENDA DUM1 1.0
SENDA DUM1 1.0
SENDA DUM1 1.0
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .305515.8187.01210 5. 0 { 200-mile, constant-
-2SENDB RECB .031991.5559.01937 5. 0 { parameter, 3-phase
-3SENDC RECC { transmission line.
REPETITION 19 { 9 more sections of 10 miles for 100 miles total
TRANSPOSITION 2 3 1 { 1 more sections; transpose A, B, C --> B, C, A
1 0 1.E-3 { Capacitance to neutral
2 0 1.E-3
3 0 1.E-3
REPETITION 20 { 9 more sections of 10 miles for 100 miles total
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92RECB RECA 5555. 1
92RECC 4444. 1
C VREF VFLASH VZERO
0.0 -1.0 0.0
1.0 582400. { First point of i-v curve.
2.0 590800. { Data is copied from DC-39
5.0 599200. { which was used to create
10. 604800. { the ZnO branch cards that
20. 616000. { are used in phases "a" &
50. 630000. { "b". But there is some
100. 644000. { distortion due to the use
200. 661920. { of linear rather than the
500. 694400. { more accurate exponential
1000. 721280. { modeling, of course.
2000. 756000.
3000. 778400. { Last point of i-v curve.
9999. { Terminator for piecewise-linear characteristic
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14SENDA 408000. 60. 0.0 { 1st of 3 sources. Note balanced,
14SENDB 408000. 60. -120. { three-phase, sinusoidal excitation
14SENDC 408000. 60. 120. { with no phasor solution.
BLANK card ending source data
RECC20RECB20RECA20RECC RECB RECA SENDA SENDB SENDC
BLANK card terminating names of node voltage outputs
194 1. 0.0 10. BRANCH
RECA RECB RECC
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 19th of 28 subcases is like 8th, but it adds shunt-connected lumped
C elements (capacitance) that involve a dummy node (number -1). The
C dummy node is connected to ground by a 1-ohm resistor.
PRINTED NUMBER WIDTH, 10, 2, { Reduced precision
.000050 .006
1 1 1 0 1 -1
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
$VINTAGE, 1
-1JDA LMA 9.92820E+00 4.56745E+02 1.62458E+05-1.00000E+02 1 2
-2JDB LMB 3.89217E-01 3.61489E+02 1.85363E+05-1.00000E+02 1 2
$VINTAGE, 0
0.91340878 -0.63245328
0.00000000 0.00000000
0.40704349 0.77459851
0.00000000 0.00000000
TRANSPOSITION 2 1 { Transpose the 2 phases: A --> B, B --> A
1 -1 1.E-3 { Capacitance to neutral
2 -1 1.E-3 { Capacitance to neutral
-1 0 1.0 { Resistance from neutral to earth
REPETITION 1 { 1 more sections of 100 miles for 200 miles total
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92LMA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92LMB LMA 5555. 1
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14JDA 408000. 60. 0. { 1st of 3 sources. Note balanced,
14JDB 408000. 60. -120. { three-phase, sinusoidal excitation
BLANK card ending source data
1
194 .5 0.5 5.5 LMA LMB
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 20th of 28 subcases is like the 1st, but with the addition of current
C output for the series resistor in the middle. Also, resistance value
C has been made sizable (20 ohms) to attenuate the surge.
PRINTED NUMBER WIDTH, 13, 2, { Request maximum precision (for 8 output columns)
.000050 .020
1 1 1 0 1 -1 2
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .306 5.82 .012 100. { Half the length of original
1 1 2.E+1 { Sizable resistor precedes line section } 1
REPETITION 1 { Connect another section of preceding 100 miles, making 200
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA { Type 92 is for v-i curve } 5555. { 5555 flag is for exponentials } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 2.0
C COEF EXPON VMIN
1250. 26. 0.5
9999. { Bound on exponential segments (only one precedes)
BLANK card terminating branch data
BLANK card terminating all (in this case, nonexistent) switches
14SENDA 408000. 60.
BLANK card ending source data
1
194 2. 0.0 20. RECA
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 21th of 28 subcases is like preceding, but with 4 sections of 50 miles
C rather than 2 of 100. The resistor is repeated 3 times, here, and each
C section has its own output of current, of course. R = 10 ohms, note.
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1 2
33 1 40 10 100 50
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
-1SENDA RECA .306 5.82 .012 50. { 1/4 the length of original
1 1 1.E+1 { Small resistor precedes line section } 1
REPETITION 3 { Connect another 3 sections of preceding 50 miles, making 200
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA { Type 92 is for v-i curve } 5555. { 5555 flag is for exponentials } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 2.0
C COEF EXPON VMIN
1250. 26. 0.5
9999. { Bound on exponential segments (only one precedes)
BLANK card terminating branch data
BLANK card terminating all (in this case, nonexistent) switches
14SENDA 408000. 60.
BLANK card ending source data
1
194 2. 0.0 20. RECA
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 22nd of 28 subcases is same as DC-3, only built using CASCADE LINE.
C One can use FC to compare this solution with DC-3. Comments from it:
C Energization of 180-mile 3-phase line represented by 18 identical
C Pi-sections. Transposed at 60 and 120 miles, note. XOPT = 3000.
PRINTED NUMBER WIDTH, 13, 2,
.000050 .010 3000. { XOPT = 3 KHz means reactance in ohms at this freq.
1 1 1 1 1 -1
5 5 10 10 20 20 { Escalating printout frequency
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
1GEN-A 18-B 34.372457.68.15781
2GEN-B 18-C 35.735164.43-.031538.002451.79.16587
3GEN-C 18-A 35.735164.43-.031537.455151.72-.021938.002451.79.16587
C Note that receiving-end names correspond to final phase position (B, C, A)
C after two cyclic transpositions that will follow. The final line section
C will connect (18-B17, 18-C17, 18-A17) with (18-B, 18-C, and 18-A).
REPETITION 5 { Connect another 5 sections of preceding 10 miles, making 50
TRANSPOSITION 2 3 1 { Transpose 3 phases A --> B, B --> C, C --> A
REPETITION 6 { Connect another 6 sections of preceding 10 miles, making 60
TRANSPOSITION 2 3 1 { Transpose 3 phases A --> B, B --> C, C --> A
REPETITION 6 { Connect another 6 sections of preceding 10 miles, making 60
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
0M-A GEN-A 400.0 { 400 Ohm closing resistors, to be shorted by
0M-B GEN-B 400.0 { breaker poles at times 9.98, 14, and 14
0M-C GEN-C 400.0 { msec, respectively.} 1
0POLE-AM-A 15.0
0POLE-BM-B 15.0
0POLE-CM-C 15.0
BLANK card ending branch cards
E-A POLE-A 0. 20.0 1
E-B POLE-B 0.00398 20.0 { Closing will be at 4.0 msec, all computer } 3
E-C POLE-C 0.00398 20.0 { This backoff from 4.0 was needed by PRIME } 1
M-A GEN-A 0.00998 20.0 { Breaker poles across 400 Ohm closing
M-B GEN-B 0.013998 20.0 { resistors. Note artificial opening
M-C GEN-C 0.013998 20.0 { time (in fact, there is no opening).
BLANK card ending switches
14E-A -1.0 60.0 -90.0
14E-B -1.0 60.0 -210.0
14E-C -1.0 60.0 30.0
BLANK card ending sources
18-C 18-B 18-A
BLANK card ending output variables requests (node voltages, here)
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 23rd of 28 subcases is like preceding, except that it has added damping
C as explained in the July, 1999, newsletter. Comments document this
C exceptional, extra data card immediately following the line section.
C The idea comes from Orlando Hevia. Value 100K ohms used here results
C in graphically obvious damping (see screen plot) without changing the
C peak value much. Initial ringing is essentially the same although
C following noise disappears much more quickly.
PRINTED NUMBER WIDTH, 13, 2,
.000050 .010 3000. { XOPT = 3 KHz means reactance in ohms at this freq.
1 1 1 1 1 -1
5 5 10 10 20 20 { Escalating printout frequency
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
1GEN-A 18-B 34.372457.68.15781
2GEN-B 18-C 35.735164.43-.031538.002451.79.16587
3GEN-C 18-A 35.735164.43-.031537.455151.72-.021938.002451.79.16587
C For added, artificial damping, an extra card having blank columns 1-26
C must immediately following the line section. Columns 27-32 carry the
C value in ohms of resistor that will parallel each phase of each section:
1.E5 { Damping resistor parallels each conductor
C Note that receiving-end names correspond to final phase position (B, C, A)
C after two cyclic transpositions that will follow. The final line section
C will connect (18-B17, 18-C17, 18-A17) with (18-B, 18-C, and 18-A).
REPETITION 5 { Connect another 5 sections of preceding 10 miles, making 50
TRANSPOSITION 2 3 1 { Transpose 3 phases A --> B, B --> C, C --> A
REPETITION 6 { Connect another 6 sections of preceding 10 miles, making 60
TRANSPOSITION 2 3 1 { Transpose 3 phases A --> B, B --> C, C --> A
REPETITION 6 { Connect another 6 sections of preceding 10 miles, making 60
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
0M-A GEN-A 400.0 { 400 Ohm closing resistors, to be shorted by
0M-B GEN-B 400.0 { breaker poles at times 9.98, 14, and 14
0M-C GEN-C 400.0 { msec, respectively.} 1
0POLE-AM-A 15.0
0POLE-BM-B 15.0
0POLE-CM-C 15.0
BLANK card ending branch cards
E-A POLE-A 0. 20.0 1
E-B POLE-B 0.00398 20.0 { Closing will be at 4.0 msec, all computer } 3
E-C POLE-C 0.00398 20.0 { This backoff from 4.0 was needed by PRIME } 1
M-A GEN-A 0.00998 20.0 { Breaker poles across 400 Ohm closing
M-B GEN-B 0.013998 20.0 { resistors. Note artificial opening
M-C GEN-C 0.013998 20.0 { time (in fact, there is no opening).
BLANK card ending switches
14E-A -1.0 60.0 -90.0
14E-B -1.0 60.0 -210.0
14E-C -1.0 60.0 30.0
BLANK card ending sources
18-C 18-B 18-A
BLANK card ending output variables requests (node voltages, here)
144 1. 0.0 10. -2. 2. 18-C 18-B 18-A
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 24th of 28 subcases begins illustration of frequency-dependent line
C sections within CASCADE LINE. Begin with Semlyen F-dependence.
C This initial subcase will connect 2 100-mile sections manually in
C order to establish the right answer. No CASCADE LINE yet.
PRINTED NUMBER WIDTH, 9, 2, { Request maximum precision (for 8 output columns)
100.E-6 .004 60.
1 1 1 1 0 -1
30 5 50 10 100 100
C <++++++> Cards punched by support routine on 11-Nov-18 11.00.00 <++++++>
C SEMLYEN SETUP
C $ERASE
C BRANCH SENDA RECA SENDB RECB SENDC RECC
C TOLERANCES 10 5000. { Illustration only; value of FMED actually unchang
C 200 150 10 230 1 7 7777 0 { Semlyen miscellaneous da
C LINE CONSTANTS
C 1.3636 .05215 4 1.602 -20.75 50. 50.
C 1.3636 .05215 4 1.602 -19.25 50. 50.
C 2.3636 .05215 4 1.602 - 0.75 77.5 77.5
C 2.3636 .05215 4 1.602 0.75 77.5 77.5
C 3.3636 .05215 4 1.602 19.25 50. 50.
C 3.3636 .05215 4 1.602 20.75 50. 50.
C 0.5 2.61 4 0.386 -12.9 98.5 98.5
C 0.5 2.61 4 0.386 12.9 98.5 98.5
C BLANK card ending conductor cards within "LINE CONSTANTS" data
C 100. 5000. 100. { Transient frequen
C 100. 60.00 100. { Phasor solution frequen
C 100. 6.00 100. 6 20 { log loopi
C BLANK card ending frequency cards of "LINE CONSTANTS" data
C BLANK card ending "LINE CONSTANTS" data cases
C L= 100.0 miles, rho= 100.0, ss freq= 60.00, NSS=0, KFIT=10, KPS=2, KYC=30
-1ASW1 A5A001 5.73657E-03 5.80501E-04 1 1 2 2 3
1.29532159E+01 6.90147263E+01-1.54971081E-04 1.00826561E-03 6.00000000E+01
0.00000E+00 1.99246E+04 7.80012E-01 0.00000E+00 2.39630E+03 2.19988E-01
0.00000E+00 2.93896E+05-8.84697E-04 0.00000E+00 6.44826E+02-1.46889E-03
-1BSW1 B5B001 6.99857E-03 5.37300E-04 2 2 2 2 3
3.65631810E-01 3.01288921E+01-1.20641047E-05 1.41887940E-03 6.00000000E+01
0.00000E+00 2.54663E+05 9.79674E-01 0.00000E+00 2.72320E+03 2.03258E-02
0.00000E+00 9.43770E+03-1.26448E-04 0.00000E+00 5.92472E+01-4.28807E-04
-1CSW1 C5C001 4.15601E-03 5.36306E-04 3 3 2 2 3
1.50114817E+00 5.16927471E+01-1.74676422E-05 8.35146102E-04 6.00000000E+01
0.00000E+00 6.39606E+05 9.69072E-01 0.00000E+00 2.23039E+03 3.09277E-02
0.00000E+00 2.10503E+03-1.22603E-04 0.00000E+00 9.26329E+01-3.41262E-04
1.00000E+00 0.00000E+00 1.00000E+00 0.00000E+00-2.75271E-01 0.00000E+00
7.22689E-01 0.00000E+00 4.43389E-13 0.00000E+00 1.00000E+00 0.00000E+00
1.00000E+00 0.00000E+00-1.00000E+00 0.00000E+00-2.75271E-01 0.00000E+00
4.17084E-01 0.00000E+00 5.00000E-01 0.00000E+00-3.01620E-01 0.00000E+00
2.29906E-01 0.00000E+00 3.55101E-13 0.00000E+00 8.34169E-01 0.00000E+00
4.17084E-01 0.00000E+00-5.00000E-01 0.00000E+00-3.01620E-01 0.00000E+00
-1A5A001A5A ASW1 A5A001
-1B5B001B5B
-1C5C001C5C
0A5A 1. 1
0B5B 1. 1
0C5C 1. 1
0A5A001 1.E-3
0B5B001 1.E-3
0C5C001 1.E-3
BLANK card ending branch cards
BLANK card ending switch cards
14ASW1 303. 60. 0.0 -1.
14BSW1 303. 60. -120.0 -1.
14CSW1 303. 60. 120.0 -1.
BLANK card ending source cards
A5A A5A001B5B B5B001C5C C5C001
BLANK card ending the specification of program outputs (node voltages, here)
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 25th of 28 subcases repeats the preceding, only using CASCADE LINE
C to connect together the two Semlyen F-dependent line sections.
PRINTED NUMBER WIDTH, 9, 2, { Reduced precision
100.E-6 .004 60.
1 1 1 1 0 -1
30 5 50 10 100 100
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
C <++++++> Cards punched by support routine on 11-Nov-18 11.00.00 <++++++>
C SEMLYEN SETUP
C $ERASE
C BRANCH SENDA RECA SENDB RECB SENDC RECC
C TOLERANCES 10 5000. { Illustration only; value of FMED actually unchang
C 200 150 10 230 1 7 7777 0 { Semlyen miscellaneous da
C LINE CONSTANTS
C 1.3636 .05215 4 1.602 -20.75 50. 50.
C 1.3636 .05215 4 1.602 -19.25 50. 50.
C 2.3636 .05215 4 1.602 - 0.75 77.5 77.5
C 2.3636 .05215 4 1.602 0.75 77.5 77.5
C 3.3636 .05215 4 1.602 19.25 50. 50.
C 3.3636 .05215 4 1.602 20.75 50. 50.
C 0.5 2.61 4 0.386 -12.9 98.5 98.5
C 0.5 2.61 4 0.386 12.9 98.5 98.5
C BLANK card ending conductor cards within "LINE CONSTANTS" data
C 100. 5000. 100. { Transient frequen
C 100. 60.00 100. { Phasor solution frequen
C 100. 6.00 100. 6 20 { log loopi
C BLANK card ending frequency cards of "LINE CONSTANTS" data
C BLANK card ending "LINE CONSTANTS" data cases
C L= 100.0 miles, rho= 100.0, ss freq= 60.00, NSS=0, KFIT=10, KPS=2, KYC=30
-1ASW1 A5A 5.73657E-03 5.80501E-04 1 1 2 2 3
1.29532159E+01 6.90147263E+01-1.54971081E-04 1.00826561E-03 6.00000000E+01
0.00000E+00 1.99246E+04 7.80012E-01 0.00000E+00 2.39630E+03 2.19988E-01
0.00000E+00 2.93896E+05-8.84697E-04 0.00000E+00 6.44826E+02-1.46889E-03
-1BSW1 B5B 6.99857E-03 5.37300E-04 2 2 2 2 3
3.65631810E-01 3.01288921E+01-1.20641047E-05 1.41887940E-03 6.00000000E+01
0.00000E+00 2.54663E+05 9.79674E-01 0.00000E+00 2.72320E+03 2.03258E-02
0.00000E+00 9.43770E+03-1.26448E-04 0.00000E+00 5.92472E+01-4.28807E-04
-1CSW1 C5C 4.15601E-03 5.36306E-04 3 3 2 2 3
1.50114817E+00 5.16927471E+01-1.74676422E-05 8.35146102E-04 6.00000000E+01
0.00000E+00 6.39606E+05 9.69072E-01 0.00000E+00 2.23039E+03 3.09277E-02
0.00000E+00 2.10503E+03-1.22603E-04 0.00000E+00 9.26329E+01-3.41262E-04
1.00000E+00 0.00000E+00 1.00000E+00 0.00000E+00-2.75271E-01 0.00000E+00
7.22689E-01 0.00000E+00 4.43389E-13 0.00000E+00 1.00000E+00 0.00000E+00
1.00000E+00 0.00000E+00-1.00000E+00 0.00000E+00-2.75271E-01 0.00000E+00
4.17084E-01 0.00000E+00 5.00000E-01 0.00000E+00-3.01620E-01 0.00000E+00
2.29906E-01 0.00000E+00 3.55101E-13 0.00000E+00 8.34169E-01 0.00000E+00
4.17084E-01 0.00000E+00-5.00000E-01 0.00000E+00-3.01620E-01 0.00000E+00
1 0 1.E-3 { Capacitance to neutral
2 0 1.E-3
3 0 1.E-3
REPETITION 1 { Connect another 1 sections of preceding 50 miles, making 200
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
0A5A 1. 1
0B5B 1. 1
0C5C 1. 1
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14ASW1 303. 60. 0.0 -1.
14BSW1 303. 60. -120.0 -1.
14CSW1 303. 60. 120.0 -1.
BLANK card ending source data
A5A A5A001B5B B5B001C5C C5C001
BLANK card ending node voltage outputs
BLANK card ending plot cards
BEGIN NEW DATA CASE
C 26th of 28 subcases is like preceding subcase, but Semlyen line
C modeling is replaced by J. Marti line modeling. Still two 100-mile
C sections are cascaded, however.
PRINTED NUMBER WIDTH, 10, 2, { Reduced precision
.000050 .020
1 1 1 0 1 -1
30 5 50 10 100 100
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
C <++++++> Cards punched by support routine on 11-Nov-18 11.00.00 <++++++>
C ***** UNTRANSPOSED JMARTI line segment ******
C JMARTI SETUP, 1.0, { Note use of PDT0 = 1 to allow reduction of ord
C $ERASE
C BRANCH SENDA RECA SENDB RECB SENDC RECC
C LINE CONSTANTS
C 1.3636 .05215 4 1.602 -20.75 50. 50.
C 1.3636 .05215 4 1.602 -19.25 50. 50.
C 2.3636 .05215 4 1.602 - 0.75 77.5 77.5
C 2.3636 .05215 4 1.602 0.75 77.5 77.5
C 3.3636 .05215 4 1.602 19.25 50. 50.
C 3.3636 .05215 4 1.602 20.75 50. 50.
C 0.5 2.61 4 0.386 -12.9 98.5 98.5
C 0.5 2.61 4 0.386 12.9 98.5 98.5
C BLANK card ending conductor cards of imbedded "LINE CONSTANTS" data
C 100. 5000. 100. 1 1
C 100. 60.00 100. 1 1
C 100. .01 100. 1 9 10 1
C BLANK card ending frequency cards of inbedded "LINE CONSTANTS" data
C BLANK card ending "LINE CONSTANTS" cases (back to "JMARTI SETUP")
C 1 .48D-7
C .30 30 0 1 3 0 0
-1SENDA RECA 1. 1.00 -2 3
18 4.7483546376731072800E+02
-1.18006161060646209E+00 -3.16766872020413360E+00 2.55699269092638702E+01
-6.01797009623673489E+01 -1.18859418694219202E+02 1.28219132925008535E+03
5.89997491758850629E+03 2.93123960674098963E+04 1.15769990477470027E+05
4.56828075863527542E+05 1.53829254905850161E+06 6.82459590531661455E+06
1.55607339315315970E+07 2.31961726607006118E+07 1.43948936484195535E+07
2.41675279090378210E+07 2.45138250143723451E+07 4.76943011379202083E+07
3.21677891370685698E-01 8.97689663361987301E-01 1.65645914803404449E+00
1.66683409949634776E+00 2.53097172028723927E+00 2.00062220020147664E+01
1.24317532805618115E+02 6.57762750995805277E+02 2.78828659956286174E+03
1.17239579054727201E+04 4.27765179903550234E+04 2.02713498468649341E+05
9.69491855126972544E+05 2.97097124115793128E+06 7.38395608260167297E+06
1.21069716520713456E+07 1.32941233143761196E+07 2.52144300149374009E+07
14 6.2012595281792895700E-04
9.21163821482878787E-02 4.49959993192020458E-01 5.85569758182220901E-01
1.39148640698697257E+00 5.62298197490835961E+00 1.70440712502643735E+01
1.13333401654647077E+02 5.08692785290631662E+02 2.44410769027288780E+03
9.94922166773389450E+02 1.34258890978641612E+04 7.13108058148054174E+05
6.17020585096151010E+07 -6.24326786990908981E+07
3.32380162906116326E+01 1.56591584681817097E+02 2.11026421609272604E+02
4.12916697658035276E+02 4.68653759455945079E+02 7.14803232315465494E+02
1.93593005557436050E+03 3.70931080902511576E+03 6.84113065949658449E+03
9.03279886786780117E+03 1.87891647818270213E+04 3.39154192586971549E+04
3.11467431507017864E+04 3.11778898938524981E+04
-2SENDB RECB 1. 1.00 -2 3
13 2.8580875771920489100E+02
3.81761650263625780E+03 -2.69529267120074792E+03 4.45018223196032978E+02
2.14658087789413543E+02 8.97324539735147795E+01 1.30479996048504689E+02
6.83066754726465888E+01 7.46726687815945383E+01 1.34027409744895681E+03
2.50078920872312984E+03 1.87804658322097858E+04 3.91074617528546777E+05
5.62682417249109410E+06
3.58668998822370755E+00 3.76679183632024107E+00 7.06439014940525656E+00
1.09721623541976090E+01 1.40506300112179279E+01 2.34292433673431511E+01
4.07689465036720549E+01 7.97671181460381150E+01 1.29186371424101322E+03
2.42269462582384268E+03 1.82406263537032428E+04 3.79870364151798015E+05
5.48842772234612518E+06
12 5.3730880510797227400E-04
2.52028254243671146E+00 4.01109349623009948E+01 6.96402856688803383E+01
3.57989358491384949E+01 5.71230525753107032E+02 6.38898075449796034E+03
4.78340405101482902E+04 3.41271841771830660E+04 5.07996697693548748E+05
1.11163339089429100E+07 -1.33632800675941563E+09 1.32461460664639903E+09
4.94199695306566128E+02 7.83643468932789893E+03 1.32162679948852129E+04
6.60156366445954882E+03 2.62734388612854382E+04 1.06907548589068698E+05
2.12743847016397224E+05 2.51865691934913310E+05 6.08900683349632076E+05
1.18332010282752617E+06 1.34471502915186296E+06 1.34605974418101414E+06
-3SENDC RECC 1. 1.00 -2 3
14 2.7244405820675621000E+02
3.17764328769020324E+02 3.84056941911861316E+02 7.78154566307962341E+02
1.03108316719518073E+02 2.00907813594929423E+02 7.57757504866314662E+01
1.33832891336631036E+02 6.58793101560571018E+01 6.29912275222635501E+01
9.49916573832233411E+01 1.15740687395458577E+03 2.61294978694073052E+03
1.54518909503364667E+04 6.88065437367142179E+05
2.24584095184176836E+00 5.75878919400151102E+00 3.82714998158506692E+00
6.71993501533223281E+00 1.07191091989576162E+01 1.36101548287774819E+01
2.35649762525126896E+01 3.87434226439781427E+01 7.02935629984925754E+01
1.04171009267287304E+02 1.11593305416259068E+03 2.53309850094363765E+03
1.49935463738342951E+04 6.69557374591290136E+05
19 5.4249643968434541500E-04
5.03387350941083417E-02 6.52560754647720121E+00 6.22874555413331255E+00
1.10921489856047871E+01 1.43892714677717013E+01 2.19646982905073643E+01
2.39955726673266483E+01 1.21934358335957640E+02 1.92937966105206875E+03
2.44231984427209682E+03 2.02708309307978635E+04 -4.49273698439439250E+04
2.83136618112942728E+05 3.18181274590489164E+05 3.43779403231728764E+05
4.56485000780035210E+09 -4.47900949758226872E+09 8.07451970047741032E+09
-8.16128522933274556E+09
1.81395392158859572E+01 2.39258438884147018E+03 2.16963528059100600E+03
3.94822566442155040E+03 5.27570056810359165E+03 7.69075350487642664E+03
8.80973914669594160E+03 3.76208534925462009E+04 5.81576243785037660E+04
6.47439571523925988E+04 1.97383423873635883E+05 6.74981934148844798E+05
5.87155884247283801E+05 1.28272476890128758E+06 1.75714198326300784E+06
7.85922959411724192E+06 7.86708882371135429E+06 6.80579508985397965E+06
6.81260088494382892E+06
0.57153211 0.70710678 -0.41762015
0.00000000 0.00000000 0.00000000
0.58881414 0.00000000 0.80696147
0.00000000 0.00000000 0.00000000
0.57153211 -0.70710678 -0.41762015
0.00000000 0.00000000 0.00000000
1 0 1.E-3 { Capacitance to neutral } 3
2 0 1.E-3
3 0 1.E-3
REPETITION 1 { Connect another 1 sections of preceding 100 miles
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
92RECA 5555. { 1st card of 1st of 3 ZnO } 1
C VREF VFLASH VZERO COL
778000. -1.0 0.0 4.0
C COEF EXPON VMIN
625. 26. 0.5
9999.
92RECB RECA 5555. { Phase "b" ZnO is copy of "a"
92RECC 4444. { Phase "c" ZnO is piecewise-linear
C VREF VFLASH VZERO
0.0 -1.0 0.0
1.0 582400. { First point of i-v curve.
2.0 590800. { Data is copied from DC-39
5.0 599200. { which was used to create
10. 604800. { the ZnO branch cards that
20. 616000. { are used in phases "a" &
50. 630000. { "b". But there is some
100. 644000. { distortion due to the use
200. 661920. { of linear rather than the
500. 694400. { more accurate exponential
1000. 721280. { modeling, of course.
2000. 756000.
3000. 778400. { Last point of i-v curve.
9999. { Terminator for piecewise-linear characteristic
BLANK card follows the last branch card
BLANK line terminates the last (here, nonexistent) switch
14SENDA 408000. 60. 0.0 { 1st of 3 sources. Note balanced,
14SENDB 408000. 60. -120. { three-phase, sinusoidal excitation
14SENDC 408000. 60. 120. { with no phasor solution.
BLANK card ending source data
SENDA RECA01SENDB RECB01SENDC RECC01
BLANK card ending the specification of program outputs (node voltages, here)
CALCOMP PLOT
194 2. 0.0 20. RECA
BLANK card ending plot cards
BEGIN NEW DATA CASE
C BENCHMARK DC-9
C 27th of 28 subcases is a modification of the original DC-9, which
C for some 24 years carried CASCADED PI usage. Data has been converted
C from CASCADED PI (now gone as of April, 1998) to CASCADE LINE
0.0 0.0 60.
0 0 1 1
CASCADE LINE { Request for February, 1998 replacement of old CASCADED PI
1RA1 MIDA .877 8.40 .1628
2RB1 MIDB .747 4.14-.0252 .852 8.43 .1559
3RC1 MIDC .735 3.47-.0067 .723 4.17-.0277 .829 8.46 .1571
REPETITION 1 { Connect another 1 section of preceding
C Ok, we now are at nodes 2A1, 2B1, and 2C1 of Fig. 1 in Sect. IV-F of the
C Rule Book. Next, we must roll, connect some lumped elements in series,
C and finally another (just one) line section:
TRANSPOSITION 2 3 1 { Transpose 3 phases A --> B, B --> C, C --> A
C 1 1 1.E-3 { Poor approximation to short circuit ignored
2 2 1.E18
3 3 13.1449.071
REPETITION 1 { Loop once over preceding lumped elements and line section
C Ok, we now are at nodes 4C1, 4A1, and 4B1 of Fig. 1. Next, we must
C roll, connect some lumped elements in series, and finally another line
C section. If final line section is split in half, each half is very close
C to original above, so we can stay within CASCADE LINE longer:
TRANSPOSITION 2 3 1 { Transpose 3 phases A --> B, B --> C, C --> A
1 1 13.14
2 2 13.14
3 3 13.1449.071
1 -1 13.1449.071
2 -1 13.1449.071
3 -1 13.1449.071
0 -1 5.0 13.14
C REPETITION 1
C TRANSPOSITION 2 3 1 { Transpose 3 phases A --> B, B --> C, C --> A
C 1 1 13.14
C 2 2 13.14
C 3 3 13.1449.071
C 1 -1 13.1449.071
C 2 -1 13.1449.071
C 3 -1 13.1449.071
C 0 -1 5.0 13.14
C REPETITION 1
C Note: the preceding comment cards are equivalent to the following line:
REPETITION 2 INCLUDE TRANSPOSITION IN LOOP { Replace preceding comments
STOP CASCADE { Terminate cascading that began with "CASCADE LINE" request
C Final line section was split in two. Originally, it was approximately one
C double-length section. It becomes two single-length sections of which the
C first of the two is defined by the preceding REPETITION loop. That leaves
C one single-length section to be connected manually:
1MIDA GENA .877 8.40 .1628
2MIDB GENB .747 4.14-.0252 .852 8.43 .1559
3MIDC GENC .735 3.47-.0067 .723 4.17-.0277 .829 8.46 .1571
BLANK card ending branch cards
BLANK card ending switch cards (none for this problem)
14RA1 424.35 60. 10.0 -.1
14RB1 424.35 60. -110.0 -.1
14RC1 424.35 60. 130.0 -.1
14GENA 424.35 60. 0.0 -.1
14GENB 424.35 60. -120.0 -.1
14GENC 424.35 60. 120.0 -.1
$WIDTH, 79, { Request narrow, 80-column LUNIT6 output as an illustration
BLANK card ending source cards
BLANK card ending selective node voltage outputs (none for this problem)
PRINTER PLOT
BLANK card ending plot cards (none allowed for CASCADED PI use, actually)
BEGIN NEW DATA CASE
$WIDTH, 132, { Restore normal 132-column LUNIT6 output for this subcase
C DIAGNOSTIC 0 0 3 { Produce [Y] of CASCADE PI in the .DBG file
C 28th of 28 subcases is the original DC-9 data from April of 1998. This
C is appended 2 August 2009 as the old CASCADED PI code is added back
C into ATP. We do add $PUNCH to illustrate the punching of [Y] on
C branch cards. Compare this output with the data of DC-11. WSM.
C Illustration of many "CASCADED PI" features. See DCPRINT-25 if any
C trouble, and DC-10 for comparison (same solution only manual cascade).
0.0 0.0 60.
0 0 1 1
CASCADED PI 3 60.0
1RA1 GA1 .877 8.40 .1628
2RB1 GB1 .747 4.14-.0252 .852 8.43 .1559
3RC1 GC1 .735 3.47-.0067 .723 4.17-.0277 .829 8.46 .1571
1.0 2 0 0 1 1 2 3
1.0 1 1 0 0 2 3 1
2 999999
3 13.1449.071
BLANK card ending first Class-5 (Series R-L-C) set of data
1.0 1 1 1 0 3 1 2
1 13.14
2 13.14
3 13.1449.071
BLANK card ending 2nd Class-5 (Series R-L-C) set of data
1 -1 13.1449.071
2 -1 13.1449.071
3 -1 13.1449.071
-1 5.0 13.14
BLANK card ending first Class-6 (Shunt R-L-C) set of data
2.0 1 -1 -1 1 1 2 3
1 .829 8.46 .1571
2 .723 4.17-.0277 .852 8.43 .1559
3 .735 3.47-.0067 .747 4.14-.0252 .877 8.40 .1628
C Activate the following comment for full precision of [Y] on punched cards:
C $VINTAGE, 2, { Request maximum of 27 columns of precision (not 16) for TR, TX
STOP CASCADE
BLANK card ending branch cards
C In 1998, [Y] was obtained from diagnostic output of overlay 3. As code is
C restored in August of 2009, this no longer is necessary. [Y] automatically
C is placed on branch cards in the punch buffer. It only remains for the user
C to flush them. Any time after STOP CASCADE should work. WSM.
$PUNCH { Output the branch [Y] as could be used for data in DC-11
BLANK card ending switch cards (none for this problem)
14GA1 424.35 60. 0.0 -.1
14RA1 424.35 60. 10.0 -.1
14GB1 424.35 60. -120.0 -.1
14RB1 424.35 60. -110.0 -.1
14GC1 424.35 60. 120.0 -.1
14RC1 424.35 60. 130.0 -.1
BLANK card ending source cards
C Total network loss P-loss by summing injections = 9.311041032866E+03
C 1st gen: RA1 417.90316999073 424.35 -.0131358847782 .05382578726276
C 1st gen: 73.687604192962 10.00000 .05219831324431 104.1253709
C End last gen: -12.95674346101 44.419110587004 -6432.468410934 9424.6247887975
C End last gen: -42.48741206788 -106.9593405 -6888.171205186 -0.6825172
BLANK card ending selective node voltage outputs (none for this problem)
PRINTER PLOT
BLANK card ending plot cards (none allowed for CASCADED PI use, actually)
BEGIN NEW DATA CASE
BLANK
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